Question

the measure of an angle is 18 times the measure of its supplementary angle. the measure of the angle is______​

Answer 1

Answer :

• The measure of angle is 9.47 and 170

Given :

• The measure of an angle is 18 times the measure of its supplementary angle

To find :

• Measure of an angle

Solution :

• Let the measure of the angle be x

Given,

• The measure of an angle is 18 times of this angle so,

• it will become 18x

As we know that

• Sum of supplementary angle is 180⁰

Substituting the value :

↦ x + 18x = 180⁰

↦ 19x = 180⁰

↦ x = 180⁰/19

↦ x = 9.47

Finding the measure of angle :

↦ x

↦ 9.47

↦ 18x

↦ 18(9.47)

↦ 170

Hence,

The measure of angle is 9.47 and 170